TroubledNextGen
TroubledNextGen TroubledNextGen
  • 20-02-2019
  • Mathematics
contestada

Simplify the expression (x^25)^-6/(x^-3)^48
The power of x in the simplified expression is
-2
-6
-23
-26

Respuesta :

gmany
gmany gmany
  • 23-02-2019

Answer:

-6

Step-by-step explanation:

[tex]Use\\\\(a^n)^m=a^{nm}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\------------------\\\\\dfrac{(x^{25})^{-6}}{(x^{-3})^{48}}=\dfrac{x^{(25)(-6)}}{x^{(-3)(48)}}=\dfrac{x^{-150}}{x^{-144}}=x^{-150-(-144)}=x^{-150+144}=x^{-6}[/tex]

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